PINNACLE Jwuy Material P-1921-P1-CB...
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PINNACLE Jwuy Material P-1921-P1-CBSE-MA-TRI-24 n If sino = nsin(0+20) then tan(0+ o) is equal to (A) + ntana (B)- tana ( 1+nar 2-n (0) 1+tana (C) tana

JEE/Engineering Exams
Maths
Solution
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We have ( sin theta=n sin (theta+2 alpha) ) ( Rightarrow frac{sin (theta+2 alpha)}{sin theta}=frac{1}{n} ) ( Rightarrow frac{sin (theta+2 alpha)+sin theta}{sin (theta+2 alpha)-sin theta} ) ( Rightarrow frac{1+n}{1-n} ) ( Rightarrow frac{2 sin (theta+alpha) cdot cos alpha}{2 sin alpha cos (theta+alpha)}=frac{1+n}{1-n} ) ( tan (theta+alpha)=frac{1+n}{1-n} tan alpha ) Hence (d) is the correct option.
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